Title
Introduction To The Analysis Of Metric Spaces (Australian Mathematical Society Lecture Series, Series Number 3)
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Assuming A Basic Knowledge Of Real Analysis And Linear Algebra, The Student Is Given Some Familiarity With The Axiomatic Method In Analysis And Is Shown The Power Of This Method In Exploiting The Fundamental Analysis Structures Underlying A Variety Of Applications. Although The Text Is Titled Metric Spaces, Normed Linear Spaces Are Introduced Immediately Because This Added Structure Is Present In Many Examples And Its Recognition Brings An Interesting Link With Linear Algebra; Finite Dimensional Spaces Are Discussed Earlier. It Is Intended That Metric Spaces Be Studied In Some Detail Before General Topology Is Begun. This Follows The Teaching Principle Of Proceeding From The Concrete To The More Abstract. Graded Exercises Are Provided At The End Of Each Section And In Each Set The Earlier Exercises Are Designed To Assist In The Detection Of The Abstract Structural Properties In Concrete Examples While The Latter Are More Conceptually Sophisticated.
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- Q: What is the main focus of 'Introduction to the Analysis of Metric Spaces'? A: The book primarily focuses on axiomatic methods in analysis, particularly metric spaces and normed linear spaces, aimed at students with a basic knowledge of real analysis and linear algebra.
- Q: What topics are covered in this book? A: The book covers metric spaces, normed linear spaces, finite dimensional spaces, and includes graded exercises designed to enhance understanding of abstract structural properties.
- Q: What level of knowledge is required to understand this book? A: A basic knowledge of real analysis and linear algebra is assumed for students reading this book.
- Q: Is this book suitable for beginners? A: While it is not specifically aimed at complete beginners, students with foundational knowledge in real analysis and linear algebra will benefit greatly from its contents.
- Q: What is the condition of the book being sold? A: The book is listed as a used book in good condition, ensuring it is suitable for study and reference.
- Q: How many pages does the book contain? A: The book contains a total of 272 pages.
- Q: What is the binding type of this book? A: The book is available in a paperback binding, making it lightweight and portable.
- Q: Who is the author of the book? A: The author of 'Introduction to the Analysis of Metric Spaces' is John R. Giles.
- Q: When was this book published? A: The book was published on September 25, 1987.
- Q: What category does this book fall under? A: This book falls under the category of Differential Equations.